Google has already specifically deranked Russian government media and media promoting the lab leak theory during COVID. Obviously China would require the index to exclude any mention of Tiananmen Square. If it's anything like the UN, Jerusalem Post will be deranked in favor of Al Jazeera on every search relating to the Middle East.

I just think it's a complete non-starter for any government to allow foreign governments to decide everything your citizens see. If they don't bow to your brand of censorship, you're going to pull out.